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982481032 = 2313194167181
BaseRepresentation
bin111010100011110…
…111100010001000
32112110201012121101
4322203313202020
54003003343112
6241253551144
733226644121
oct7243674210
92473635541
10982481032
114646485a5
122350454b4
13128715130
14946ab048
155b3c0757
hex3a8f7888

982481032 has 128 divisors (see below), whose sum is σ = 2183126400. Its totient is φ = 410572800.

The previous prime is 982481011. The next prime is 982481063. The reversal of 982481032 is 230184289.

982481032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 982481032 = 723 + 9943 = 6903 + 8683.

It is a junction number, because it is equal to n+sod(n) for n = 982480982 and 982481000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5427982 + ... + 5428162.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2982481032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982481032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091563200).

982481032 is an abundant number, since it is smaller than the sum of its proper divisors (1200645368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

982481032 is a wasteful number, since it uses less digits than its factorization.

982481032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 982481032 is about 31344.5534662723. The cubic root of 982481032 is about 994.1259065884.

The spelling of 982481032 in words is "nine hundred eighty-two million, four hundred eighty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 41 52 67 76 82 104 134 152 164 181 247 268 328 362 494 533 536 724 779 871 988 1066 1273 1448 1558 1742 1976 2132 2353 2546 2747 3116 3439 3484 4264 4706 5092 5494 6232 6878 6968 7421 9412 10127 10184 10988 12127 13756 14842 16549 18824 20254 21976 24254 27512 29684 33098 35711 40508 44707 48508 52193 59368 66196 71422 81016 89414 96473 97016 104386 132392 140999 142844 157651 178828 192946 208772 230413 281998 285688 315302 357656 385892 417544 460826 497207 563996 630604 678509 771784 921652 994414 1127992 1261208 1357018 1832987 1843304 1988828 2714036 2995369 3665974 3977656 5428072 5990738 6463691 7331948 9446933 11981476 12927382 14663896 18893866 23962952 25854764 37787732 51709528 75575464 122810129 245620258 491240516 982481032